Letter: Models of Relativistic Particle with Curvature and Torsion Revisited |
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Authors: | Josu Arroyo Manuel Barros Oscar J Garay |
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Institution: | (1) Departamento de Matemáticas, Universidad del Pais Vasco/Euskal Herriko Unibertsitatea, Aptdo 644, 48080 Bilbao, Spain;(2) Departamento de Geometría y Topología, Universidad de Granada, 18071 Granada, Spain |
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Abstract: | Models, describing relativistic particles, where Lagrangian densities depend linearly on both the curvature and the torsion of the trajectories, are revisited in D=3 space forms. The moduli spaces of trajectories are completely and explicitly determined using the Lancret program. The moduli subspaces of closed solitons in the three sphere are also determined. |
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Keywords: | Relativistic particle Lancret curves Hopf tubes |
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